22021200010000 has 200 divisors, whose sum is σ = 53507766533760. Its totient is φ = 8776762368000.

The previous prime is 22021200009929. The next prime is 22021200010001. The reversal of 22021200010000 is 1000212022.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22021200010001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7585668549 + ... + 7585671451.

Almost surely, 2^{22021200010000} is an apocalyptic number.

22021200010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22021200010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26753883266880).

22021200010000 is an abundant number, since it is smaller than the sum of its proper divisors (31486566523760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22021200010000 is a wasteful number, since it uses less digits than its factorization.

22021200010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5403 (or 5382 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22021200010000 its reverse (1000212022), we get a palindrome (22022200222022).

The spelling of 22021200010000 in words is "twenty-two trillion, twenty-one billion, two hundred million, ten thousand".